Department of Physics

10ΕΚΟ01 Mechanics II

Course webpage:  https://eclass.uoa.gr/courses/PHYS288

Course outline

Course content

• The principle of least action.
• Calculus of variations. Euler-Lagrange equations. Lagrangian of a charged particle in an EM field.
• Symmetries and Noether’s theorem. Lagrange multipliers and constraints.
• Normal modes of an oscillating system.
• Legendre transformation. Hamilton equations. Phase space flow. Poisson brackets.
• Symmetries and conserved quantities in hamiltonian mechanics. Canonical transformations.